The measure of two sides of a triangle are 5.2 and 8..1. Determine the range of values for the third side of the triangle
____ < n < ____
To determine the range of values for the third side of the triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's call the third side length x.
According to the triangle inequality theorem:
5.2 + 8.1 > x
13.3 > x
To find the maximum value for x, we can combine the two given side lengths:
8.1 + 5.2 = 13.3
Therefore, the maximum value for x is 13.3.
So, the range of values for the third side of the triangle is:
____ < x < 13.3